IEEE Information Theory Workshop (ITW)

On binary constructions of quantum codes

Gérard Cohen, Sylvia B. Encheva, Simon N. Litsyn

Published Jan 20, 2003• 3 citations

Abstract

Recently, Steane (1998) proposed an enlargement of the Calderbank-Shor-Steane construction. Here we further improve on the parameters obtained from his construction, present examples of new codes, and analyze asymptotical non-constructive bounds.

DOI: 10.1109/itcom.1999.781458

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IEEE Information Theory Workshop (ITW)

On binary constructions of quantum codes

Gérard Cohen, Sylvia B. Encheva, Simon N. Litsyn

Published Jan 20, 2003• 3 citations

Publisher

Abstract

DOI: 10.1109/itcom.1999.781458

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q

-ary ($q\ensuremath{\ne}2$ is a prime power) Steane's enlargement of Calderbank-Shor-Steane codes applied to Euclidean self-orthogonal non-narrow-sense BCH codes. The quantum nonbinary BCH codes presented here have parameters better than the ones available in the literature.